拉杆转子系统的运动稳定性及分岔研究  

STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM

作　　者：黑棣[1] 郑美茹[1] HEI Di;ZHENG MeiRu(Department of Mechanical and Electrical Engineering,Shaanxi Railway Institute,Weinan 714000,China)

机构地区：[1]陕西铁路工程职业技术学院机电工程系,渭南714000

出　　处：《机械强度》2020年第2期299-307,共9页Journal of Mechanical Strength

基　　金：陕西省自然科学研究计划(2019JQ-928);陕西省渭南市科研计划项目(2016KYJ-1-2);陕西铁路工程职业技术学院博士科研启动专项基金项目(KY2018-53);陕西铁路工程职业技术学院中青年科技创新人才计划(KJRC201901)资助。

摘　　要：考虑拉杆转子轮盘间的接触效应,并将此接触效应等效为一个具有非线性刚度的抗弯弹簧,从而建立了拉杆转子的运动模型,并推导了拉杆转子的运动方程。为了求解拉杆转子的动力学响应,将Wilson-θ法和预估-校正机理相结合提出了一种有效的计算方法,同时结合Floquet理论分析了拉杆转子的分岔行为。在计算时,首先比较了拉杆转子与整体转子的运动稳定性,结果显示拉杆转子比整体转子更稳定。最后,分别以量刚一转速、圆盘偏心量、转轴刚度为控制参数分析了拉杆转子的动力学行为,计算结果揭示拉杆转子具有周期、转周期、周期三、周期五等丰富的运动行为。The contact effect of the disks of the rod-fastening rotor is considered in this paper.The contact effect is equivalent to a bending resistance spring with nonlinear stiffness when the modal of rod-fastening rotor is established.The motion equation of the rod-fastening rotor system is derived.In order to solve the dynamics responses of the rod-fastening rotor,an effective calculation method is presented by combining the Wilson-θmethod and Estimation-correction mechanism.At the same time,Floquet theory is adopted to analyze the bifurcation behaviors of the rod-fastening rotor.The comparison of the stability is implemented between the rod-fastening rotor and integral rotor.The results show that the rod-fastening rotor is more stable than the integral rotor.Finally,the dynamics behaviors of the rod-fastening rotor are analyzed by taking the speed of rotor,eccentricity of disk and stiffness of shaft as control parameter.The calculating results reveal periodic,quasi-periodic,3-periodic,5-periodic of the system.

关 键 词：拉杆转子 稳定性 分岔 WILSON-Θ法 FLOQUET理论 

分 类 号：TH133[机械工程—机械制造及自动化]